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Finding the Fourth Proportional to 9,765.24, 13,476.09 and 5,458.33

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Solution

The fourth proportional to 9,765.24, 13,476.09 and 5,458.33 is: 7,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.24 : 13,476.09 = 5,458.33 : x
  2. Step 2: Convert to fraction form
    9,765.24/13,476.09 = 5,458.33/x
  3. Step 3: Cross multiply
    9,765.24x = 13,476.09 × 5,458.33
  4. Step 4: Simplify right side
    9,765.24x = 73,556,946.33
  5. Step 5: Solve for x
    x = 73,556,946.33/9,765.24
  6. Step 6: Final answer
    x = 7,532.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.